Korteweg, de Vries-Burges equation is obtained for an incompressible and viscous fluid which is flowing in one direction for the shallow water. We assume that the wave amplitude is small but finite, the viscosity of t...Korteweg, de Vries-Burges equation is obtained for an incompressible and viscous fluid which is flowing in one direction for the shallow water. We assume that the wave amplitude is small but finite, the viscosity of the fluid is also small enough.展开更多
The linear variable separation approach is successfully extended to(1+1)-dimensional Korteweg-de Vries (KdV) type models related to Schrodinger system. Somesignificant types of solitons such as compaction, peakon, and...The linear variable separation approach is successfully extended to(1+1)-dimensional Korteweg-de Vries (KdV) type models related to Schrodinger system. Somesignificant types of solitons such as compaction, peakon, and loop solutions with periodic behaviorare simultaneously derived from the (l+l)-dimensional soliton system by entrancing appropriatepiecewise smooth functions and multivalued functions.展开更多
In this paper, we evaluate the general solutions for plane-symmetric thick domain walls in Lyra geometry in presence of bulk viscous fluid. Expressions for the energy density and pressure of domain walls are derived i...In this paper, we evaluate the general solutions for plane-symmetric thick domain walls in Lyra geometry in presence of bulk viscous fluid. Expressions for the energy density and pressure of domain walls are derived in both cases of uniform and time varying displacement field β. Some physical consequences of the models are also given. Finally, the geodesic equations and acceleration of the test particle are discussed.展开更多
In this paper, the two approximate hypotheses in boundary layer theory p/y=0,2u/x2=0, are reinvestigated and analyzed, while a new approximate hypothesis, p/y =μ2v/y2, is suggested to establish a new expanded boundar...In this paper, the two approximate hypotheses in boundary layer theory p/y=0,2u/x2=0, are reinvestigated and analyzed, while a new approximate hypothesis, p/y =μ2v/y2, is suggested to establish a new expanded boundary layer equation. Its formula of equilibrium of force coincides basically with that of Navier-Stokes equations on the boundary while the applicable range of the boundary layer expansion equation can be extended to the leading edge region. Theoretical analysis and discussion are presented.展开更多
文摘Korteweg, de Vries-Burges equation is obtained for an incompressible and viscous fluid which is flowing in one direction for the shallow water. We assume that the wave amplitude is small but finite, the viscosity of the fluid is also small enough.
基金The project supported by National Natural Science Foundation of China under Grant No. 10172056, and the Natural Science Foundation of Zhejiang Province of China under Grant No. Y604106 and the Natural Science Foundation of Zhejiang Lishui University unde
文摘The linear variable separation approach is successfully extended to(1+1)-dimensional Korteweg-de Vries (KdV) type models related to Schrodinger system. Somesignificant types of solitons such as compaction, peakon, and loop solutions with periodic behaviorare simultaneously derived from the (l+l)-dimensional soliton system by entrancing appropriatepiecewise smooth functions and multivalued functions.
文摘In this paper, we evaluate the general solutions for plane-symmetric thick domain walls in Lyra geometry in presence of bulk viscous fluid. Expressions for the energy density and pressure of domain walls are derived in both cases of uniform and time varying displacement field β. Some physical consequences of the models are also given. Finally, the geodesic equations and acceleration of the test particle are discussed.
文摘In this paper, the two approximate hypotheses in boundary layer theory p/y=0,2u/x2=0, are reinvestigated and analyzed, while a new approximate hypothesis, p/y =μ2v/y2, is suggested to establish a new expanded boundary layer equation. Its formula of equilibrium of force coincides basically with that of Navier-Stokes equations on the boundary while the applicable range of the boundary layer expansion equation can be extended to the leading edge region. Theoretical analysis and discussion are presented.
